Harmonic analysis and boundary value problems in the complex domain /
The present book is a valuable continuation of the large cycle of the author's investigations on harmonic analysis in the complex domain. For certain sets of segments in the complex domain, the elegant and explicit apparatus of the biorthogonal Fourier type systems (basis systems in the Rieszia...
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| Format: | eBook |
| Language: | English |
| Published: |
Basel ; Boston :
Birkhäuser Verlag,
[1993]
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| Series: | Operator theory, advances and applications ;
v. 65. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- 1. Preliminary results. Integral transforms in the complex domain
- 2. Further results. Wiener-Paley type theorems
- 3. Some estimates in Banach spaces of analytic functions
- 4. Interpolation series expansions in spaces [actual symbol not reproducible] of entire functions
- 5. Fourier type basic systems in L[subscript 2](0, [sigma])
- 6. Interpolation series expansions in [actual symbol not reproducible] of entire functions
- 7. Basic Fourier type systems in L[subscript 2] spaces of odd-dimensional vector functions
- 8. Interpolation series expansions in spaces [actual symbol not reproducible] of entire functions
- 9. Basic Fourier type systems in L[subscript 2] spaces of even-dimensional vector functions
- 10. The simplest Cauchy type problems and the boundary value problems connected with them
- 11. Cauchy type problems and boundary value problems in the complex domain (the case of odd segments).
- 12. Cauchy type problems and boundary value problems in the complex domain (the case of even segments).